Nonlinear Acoustic Vibrations in Piezoelectrics with Cantor-like Structure

摘要

The purpose of this paper is to explain the existence of multiple fracton and multiple phonon-mode regimes in the displacement field for a piezoelectric plate with Cantor-like structure (Cantor plate). An anharmonic coupling between the extended-vibration (phonon) and the localized-mode (fracton) regimes explained the subharmonic generation of ultrasonic waves (SWG) in the Cantor plate.